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Finding the Fourth Proportional to 17,434.14, 24,055.22 and 9,879.82

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Solution

The fourth proportional to 17,434.14, 24,055.22 and 9,879.82 is: 13,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.14 : 24,055.22 = 9,879.82 : x
  2. Step 2: Convert to fraction form
    17,434.14/24,055.22 = 9,879.82/x
  3. Step 3: Cross multiply
    17,434.14x = 24,055.22 × 9,879.82
  4. Step 4: Simplify right side
    17,434.14x = 237,661,243.66
  5. Step 5: Solve for x
    x = 237,661,243.66/17,434.14
  6. Step 6: Final answer
    x = 13,631.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.